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Distance Modulus Calculator

m − M = 5 · log₁₀(d_pc) − 5.

Compute the distance modulus and luminosity distance to an astronomical object from its apparent and absolute magnitudes, using m − M = 5 · log₁₀(d / 10 pc).

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

m − M = 5 · log₁₀(d_pc) − 5

In depth

Compute the distance modulus and luminosity distance to an astronomical object from its apparent and absolute magnitudes, using m − M = 5 · log₁₀(d / 10 pc).